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Finding the Fourth Proportional to 70,904.23, 106,345.41 and 31,454.40

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Solution

The fourth proportional to 70,904.23, 106,345.41 and 31,454.40 is: 47,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,904.23 : 106,345.41 = 31,454.40 : x
  2. Step 2: Convert to fraction form
    70,904.23/106,345.41 = 31,454.40/x
  3. Step 3: Cross multiply
    70,904.23x = 106,345.41 × 31,454.40
  4. Step 4: Simplify right side
    70,904.23x = 3,345,031,064.30
  5. Step 5: Solve for x
    x = 3,345,031,064.30/70,904.23
  6. Step 6: Final answer
    x = 47,176.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.